Journal article
On the arithmetic of simple singularities of type E
- Abstract:
- An ADE Dynkin diagram gives rise to a family of algebraic curves. In this paper, we use arithmetic invariant theory to study the integral points of the curves associated to the exceptional diagrams E6,E7, E8. These curves are non-hyperelliptic of genus 3 or 4. We prove that a positive proportion of each family consists of curves with integral points everywhere locally but no integral points globally.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Research in Number Theory Journal website
- Volume:
- 4
- Issue:
- 2
- Article number:
- 21
- Publication date:
- 2018-04-16
- Acceptance date:
- 2018-03-14
- DOI:
- EISSN:
-
2363-9555
- ISSN:
-
2522-0160
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1136433
- Local pid:
- pubs:1136433
- Deposit date:
- 2020-10-08
Terms of use
- Copyright holder:
- Romano et al.
- Copyright date:
- 2018
- Rights statement:
- ©The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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